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Finding the Fourth Proportional to 76,802.30, 115,219.65 and 32,406.20

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Solution

The fourth proportional to 76,802.30, 115,219.65 and 32,406.20 is: 48,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.30 : 115,219.65 = 32,406.20 : x
  2. Step 2: Convert to fraction form
    76,802.30/115,219.65 = 32,406.20/x
  3. Step 3: Cross multiply
    76,802.30x = 115,219.65 × 32,406.20
  4. Step 4: Simplify right side
    76,802.30x = 3,733,831,021.83
  5. Step 5: Solve for x
    x = 3,733,831,021.83/76,802.30
  6. Step 6: Final answer
    x = 48,616.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.